Bernstein–Walsh type inequalities in unbounded regions with piecewise asymptotically conformal curve in the weighted Lebesgue space

We have obtained the pointwise Bernstein–Walsh type estimation for algebraic polynomials in the unbounded regions with piecewise asymptotically conformal boundary, having exterior and interior zero angles, in the weighted Lebesgue space.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2018-10, Vol.234 (1), p.35-48
Main Authors: Imashkyzy, Meerim, Abdullayev, Gülnara A., Abdullayev, Fahreddin G.
Format: Article
Language:English
Subjects:
CONFORMAL MAPPING
DIAGRAMS
MATHEMATICAL METHODS AND COMPUTING
MATHEMATICAL SPACE
Mathematics
Mathematics and Statistics
POLYNOMIALS
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Description
Summary:We have obtained the pointwise Bernstein–Walsh type estimation for algebraic polynomials in the unbounded regions with piecewise asymptotically conformal boundary, having exterior and interior zero angles, in the weighted Lebesgue space.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-018-3979-6